Answer: A. 2x(x²)+2x(5x)+2x(-2xy)+2x(-10y)
B. 2x(x²+5x-2xy-10y)
Step-by-step explanation:
note: x*x means x times x
remember distributive and reverse it
ab+ac=a(b+c)
a is gcf
factor each
2x³=2*x*x*x
10x²=2*5*x*x
4x²y=2*2*x*x*y
20xy=2*2*5*x*y
gcf=2*x or 2x
2x³+10x²-4x²y-20xy=
2x(x²)+2x(5x)+2x(-2xy)+2x(-10y)=
2x(x²+5x-2xy-10y)
Answer:
(−2, −8)
Step-by-step explanation:
Write the problem as a mathematical expression.
y = 7x + 6
4x − 3y = 16
Replace all occurrences of y in 4x − 3y = 16 with 7x + 6. 4x − 3 (7x + 6) = 16
y = 7x + 6
Simplify 4x − 3 (7x + 6).
−17x − 18 = 16
y = 7x + 6
Solve for x in the first equation.
Move all terms not containing x to the right side of the equation.
−17x = 34
y = 7x + 6
Divide each term by −17 and simplify.
x = −2
y = 7x + 6
Replace all occurrences of x with −2 in each equation.
Replace all occurrences of x in y = 7x + 6 with −2. y = 7 (−2) + 6
x = −2
Simplify 7 (−2) + 6.
y = −8
x = −2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2, −8)
The result can be shown in multiple forms.
Point Form:
(−2, −8)
Equation Form:
x = −2, y = −8
Answer:
Probability that a gym member does not take weight-loss medication = 0.63
Step-by-step explanation:
Let E be the event of choosing a gym member who drank protein shakes and W be the event of choosing a gym member who took weight loss medication.
Probability that a gym member drank protein shakes = P(E) = 0.9
Probability that a gym member does not drink protein shakes = P(not E) = 0.1
E and W are independent events.
By using Bayes Theorem, P(E and W) = P(E)*P(W)
Probability that a gym member drank protein shakes and took weight loss medication = P(E and W) = 0.3*0.9 = 0.27
Probability that a gym member took weight-loss medication = P(W) = 0.1 + 0.27 = 0.37
(10% of members who did not drink protein shakes took weight-loss medication)
Therefore, Probability that a gym member does not take weight loss medication = P(not W) = 1 - 0.37 = 0.63
B) hexahedron
hexahedrons have 6 faces, the same as a cube.
Answer:
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